Anisotropic 1-Laplacian problems with unbounded weights

dc.contributor.authorOrtiz Chata, Juan C. [UNESP]
dc.contributor.authorPimenta, Marcos T. O. [UNESP]
dc.contributor.authorSegura de León, Sergio
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversitat de València
dc.date.accessioned2022-04-29T08:32:08Z
dc.date.available2022-04-29T08:32:08Z
dc.date.issued2021-12-01
dc.description.abstractIn this work we prove the existence of nontrivial bounded variation solutions to quasilinear elliptic problems involving a weighted 1-Laplacian operator. A key feature of these problems is that weights are unbounded. One of our main tools is the well-known Caffarelli-Kohn-Nirenberg’s inequality, which is established in the framework of weighted spaces of functions of bounded variation (and that provides us the necessary embeddings between weighted spaces). Additional tools are suitable variants of the Mountain Pass Theorem as well as an extension of the pairing theory by Anzellotti to this new setting.en
dc.description.affiliationDepartamento de Matemática Inst. de Biociências Letras e Ciências Exatas Universidade Estadual Paulista - UNESP, 15054-000
dc.description.affiliationDepartamento de Matemática e Computação Fac. de Ciências e Tecnologia Universidade Estadual Paulista - UNESP
dc.description.affiliationDepartament d’Anàlisi Matemàtica Universitat de València
dc.description.affiliationUnespDepartamento de Matemática Inst. de Biociências Letras e Ciências Exatas Universidade Estadual Paulista - UNESP, 15054-000
dc.description.affiliationUnespDepartamento de Matemática e Computação Fac. de Ciências e Tecnologia Universidade Estadual Paulista - UNESP
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2017/06119-0
dc.description.sponsorshipIdFAPESP: 2019/13503-7
dc.description.sponsorshipIdFAPESP: 2019/14330-9
dc.description.sponsorshipIdCNPq: 303788/2018-6
dc.identifierhttp://dx.doi.org/10.1007/s00030-021-00717-4
dc.identifier.citationNonlinear Differential Equations and Applications, v. 28, n. 6, 2021.
dc.identifier.doi10.1007/s00030-021-00717-4
dc.identifier.issn1420-9004
dc.identifier.issn1021-9722
dc.identifier.scopus2-s2.0-85112806623
dc.identifier.urihttp://hdl.handle.net/11449/229363
dc.language.isoeng
dc.relation.ispartofNonlinear Differential Equations and Applications
dc.sourceScopus
dc.subject1-Laplacian operator
dc.subjectCaffarelli–Kohn–Nirenberg inequality
dc.subjectWeighted L∞–divergence–measure vector fields
dc.subjectWeighted quasilinear elliptic problems
dc.titleAnisotropic 1-Laplacian problems with unbounded weightsen
dc.typeArtigo
unesp.author.orcid0000-0003-4961-3038[2]
unesp.author.orcid0000-0002-8515-7108[3]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática e Computação - FCTpt
unesp.departmentMatemática - IBILCEpt

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